Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112w |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71368704 = 216 · 32 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,-351] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:12:1] |
Generators of the group modulo torsion |
j |
3650692/1089 |
j-invariant |
L |
2.3845318590158 |
L(r)(E,1)/r! |
Ω |
1.4482931752119 |
Real period |
R |
1.6464427919899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2112m2 528d2 6336bz2 52800gr2 |
Quadratic twists by: -4 8 -3 5 |